SOLUTION: if 30 is added to a certain number and the sum is divided by 6, the result is 1 more than 1/2 of the original number. find the original number.

Algebra ->  Rate-of-work-word-problems -> SOLUTION: if 30 is added to a certain number and the sum is divided by 6, the result is 1 more than 1/2 of the original number. find the original number.      Log On


   



Question 1022751: if 30 is added to a certain number and the sum is divided by 6, the result is 1 more than 1/2 of the original number. find the original number.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
if 30 is added to a certain number
n + 30
and the sum is divided by 6,
%28%28n%2B30%29%29%2F6
the result is 1 more than 1/2 of the original number.
%28%28n%2B30%29%29%2F6 = 1%2F2n + 1
Multiply by 6 and cancel the denominators
n + 30 = 3n + 6
n - 3n = 6 - 30
-2n = -24
n = -24/-2
n = +12 is the number
:
:
Check solution in orignal equation
%28%2812%2B3%29%29%2F6 = 1%2F2(12) + 1
%28%2842%29%29%2F6 = 6 + 1